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The Function Graphed Is of the Form Y y=asinbx or y=acosbx, where b>0y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0

Question 181

Multiple Choice

The function graphed is of the form y y=asinbx or y=acosbx, where b>0y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0 Determine the equation of the graph.
-A weight attached to a spring is pulled down 7 inches below the equilibrium position. Assuming that the period of the system is 15\frac { 1 } { 5 } second, determine a trigonometric model that gives the position of the weight at time tt seconds.


A) y=7cos10πty = 7 \cos 10 \pi t
B) y=7cos15ty = 7 \cos \frac { 1 } { 5 } t
C) y=7cos10πty = - 7 \cos 10 \pi t
D) y=7cos5πty = - 7 \cos 5 \pi t

Correct Answer:

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